On the powers of matrices in bottleneck/fuzzy algebra


AbstractPowers of square matrices under the operations ⊛ = max and ⊗ = min are studied. We show that the powers of a given matrix stabilize if and only if its orbits stabilize for each starting vector and prove a necessary and sufficient condition for this property using the associated graphs of the matrix. Applications of the obtained results to several special classes of matrices (including circulants) are given

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Elsevier - Publisher Connector

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Last time updated on 5/4/2017View original full text link

This paper was published in Elsevier - Publisher Connector .

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